Math Problem Statement
- On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?
Solution
To find the probability of rolling a 3 or a 4 on a six-sided die, follow these steps:
- There are 6 sides on a die, each equally likely.
- The numbers 3 and 4 are two possible outcomes.
- The probability of rolling a specific number is .
- Since the die has two favorable outcomes (3 and 4), the combined probability is:
So, the probability of throwing a 3 or a 4 is .
Would you like more details on probability calculations?
Here are 5 related questions:
- What is the probability of rolling an even number on a six-sided die?
- What is the probability of rolling a number less than 5 on a six-sided die?
- What is the probability of rolling a 2 or a 6 on a six-sided die?
- What is the probability of rolling a number greater than 4?
- How would the probability change if the die were biased?
Tip: To calculate probabilities, remember that for mutually exclusive events, you add their probabilities.
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Math Problem Analysis
Mathematical Concepts
Probability
Mutually Exclusive Events
Formulas
P(event) = number of favorable outcomes / total number of outcomes
P(A or B) = P(A) + P(B) for mutually exclusive events
Theorems
Addition Rule of Probability
Suitable Grade Level
Grades 5-7